Not sure whether I understand this [Two-Stage / GS Designs]
Dear ElMaestro,
What about this one: Subtract the 'known (true) means' from the measurement values and analyze them by fitting a model with all the other effects you are supposing to have to account for. The MSE of the fit is then the residual std error I think.
But I must confess that I'm totally unsure what you attempt to do in your original question
.
You never know the true T/R ratio. Even if you have done your study (first stage or pivotal). The best you have is an estimate.
And assuming a true T/R ratio of say 0.95 within the 2-stage design evaluation is not for fitting a model to the data but only for powering the second stage enough under the assumption that you get an estimate equal or better than this true ratio.
❝ But now I will introduce a game-changer: Let's say I know that the actual Mean for Helmut is 45 and that the actual Mean for Detlew is 47. These are not estimates but true values. Given that I know this, and given our observations, what would then be the most likely residual st error?
What about this one: Subtract the 'known (true) means' from the measurement values and analyze them by fitting a model with all the other effects you are supposing to have to account for. The MSE of the fit is then the residual std error I think.
But I must confess that I'm totally unsure what you attempt to do in your original question

You never know the true T/R ratio. Even if you have done your study (first stage or pivotal). The best you have is an estimate.
And assuming a true T/R ratio of say 0.95 within the 2-stage design evaluation is not for fitting a model to the data but only for powering the second stage enough under the assumption that you get an estimate equal or better than this true ratio.
—
Regards,
Detlew
Regards,
Detlew
Complete thread:
- 2-stage maximum likelihood of CV/RMSE, given T/R ElMaestro 2012-10-22 15:06
- Not sure whether I understand this Helmut 2012-10-22 15:40
- Not sure whether I understand this ElMaestro 2012-10-22 16:34
- Not sure whether I understand thisd_labes 2012-10-23 16:44
- Not sure whether I understand this ElMaestro 2012-10-23 16:55
- Not sure whether I understand this Helmut 2012-10-23 17:17
- Ach du lieber ElMaestro 2012-10-23 20:51
- Not sure whether I understand this Helmut 2012-10-23 17:17
- Not sure whether I understand this ElMaestro 2012-10-23 16:55
- Not sure whether I understand thisd_labes 2012-10-23 16:44
- Not sure whether I understand this ElMaestro 2012-10-22 16:34
- Not sure whether I understand this Helmut 2012-10-22 15:40